Classification of toric Fano 5-folds

Details Classification of toric Fano 5-folds Classification of toric Fano 5-folds

2007-02-28

arxiv.org/abs/math/0702890v2

Adv. Geom. 9 (2009), 85-97

Mathematics

Algebraic Geometry

AMS-LaTeX, 12 pages with 1 figure; minor corrections

Scientific paper

We obtain 866 isomorphism classes of five-dimensional nonsingular toric Fano
varieties using a computer program and the database of four-dimensional
reflexive polytopes. The algorithm is based on the existence of facets of Fano
polytopes having small integral distance from any vertex.

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